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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/2531

Title: Numerical solution of two dimensional harmonic boundary problems containing singularities by conformal transformation methods
Authors: Whiteman, J R
Papamichael, N
Publication Date: 1971
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). June 1971, pp 1-27
Series/Report no.: ;TR/2
Abstract: Numerical solutions to a class of two dimensional harmonic mixed boundary value problems defined on rectangular domains and containing singularities are obtained using conformal transformation methods. These map the original problems into similar ones containing no singularities, and to which analytic solutions are known. Although the mapping technique produces analytic solutions to the original problems, these involve elliptic functions and integrals which have to be evaluated numerically, so that in practice only approximations can be obtained. Results calculated in this manner for model problems compare favourably with those obtained previously by other methods. On this evidence, and because of the ease with which the method can be adapted to different individual problems, we strongly recommend the transformation technique for solving problems of this class. We
URI: http://bura.brunel.ac.uk/handle/2438/2531
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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